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232417040 = 2452905213
BaseRepresentation
bin11011101101001…
…10011100010000
3121012100000020112
431312212130100
5433444321130
635021300452
75521340462
oct1566463420
9535300215
10232417040
1110a2143a9
1265a04728
13391c749b
1422c20132
151560e495
hexdda6710

232417040 has 20 divisors (see below), whose sum is σ = 540369804. Its totient is φ = 92966784.

The previous prime is 232417019. The next prime is 232417043. The reversal of 232417040 is 40714232.

232417040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38539264 + 193877776 = 6208^2 + 13924^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 232416997 and 232417015.

It is not an unprimeable number, because it can be changed into a prime (232417043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1452527 + ... + 1452686.

Almost surely, 2232417040 is an apocalyptic number.

232417040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232417040 is an abundant number, since it is smaller than the sum of its proper divisors (307952764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232417040 is a wasteful number, since it uses less digits than its factorization.

232417040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905226 (or 2905220 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 232417040 is about 15245.2300736985. The cubic root of 232417040 is about 614.8313283666.

The spelling of 232417040 in words is "two hundred thirty-two million, four hundred seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2905213 5810426 11620852 14526065 23241704 29052130 46483408 58104260 116208520 232417040